Few arguments about education are as effective at galvanizing public attention and motivating political action as those that compare the performance of students with their counterparts in other countries and that connect academic achievement to economic performance. Because data from international large-scale assessments (ILSA) have a powerful…

Sampling errors limit the accuracy with which forms can be linked. Limitations on accuracy are especially important in testing programs in which a very large number of forms are employed. Standard inequalities in mathematical statistics may be used to establish lower bounds on the achievable inking accuracy. To illustrate results, a variety of…